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A function f(z) is said to be analytic at a point z0 if its derivative exists not only at z0 but also at each point z in some neighborhood of z0.
sharon kalunda answered the question on May 10, 2019 at 12:17
- Derive of a function of complex variables.(Solved)
Derive of a function of complex variables.
Date posted: May 10, 2019. Answers (1)
- For what values of z is the following function continuous? (Solved)
For what values of z is the following function continuous?
Date posted: May 10, 2019. Answers (1)
- Show that the following function is not continuous at z = i(Solved)
Show that the following function is not continuous at z = i
Date posted: May 10, 2019. Answers (1)
- Prove that f(z) = 2z2 is continuous at z = z0(Solved)
Prove that f(z) = 2z2 is continuous at z = z0
Date posted: May 10, 2019. Answers (1)
- Prove that(Solved)
Date posted: May 10, 2019. Answers (1)
- If a + ib is a root of a polynomial,
a0zn +a1zn-1 +...........+an =0
a0, a1…an are real number.
show that its conjugate a – ib is also...(Solved)
If a + ib is a root of a polynomial,
a0zn +a1zn-1 +...........+an =0
a0, a1…an are real number.
show that its conjugate a – ib is also a root of the same equation or the zeros of a
polynomial with real coefficients always occur in conjugate pairs.
Date posted: May 2, 2019. Answers (1)
- Find all the 6th roots of unity.(Solved)
Find all the 6th roots of unity.
Date posted: May 2, 2019. Answers (1)
- Find the square roots of –15 – 8i(Solved)
Find the square roots of –15 – 8i
Date posted: May 2, 2019. Answers (1)
- Solve the equation z4 - 16 = 0(Solved)
Solve the equation z4 - 16 = 0
Date posted: May 2, 2019. Answers (1)
- Solve the equation z3 = -13= -1 giving three values of the roots.(Solved)
Solve the equation z3 = -13= -1 giving three values of the roots.
Date posted: May 2, 2019. Answers (1)
- Simplify the expression below;(Solved)
Simplify the expression below;
Date posted: May 2, 2019. Answers (1)
- Given z1 and z2,show that.(Solved)
Let
show that
Date posted: May 2, 2019. Answers (1)
- Simplify the expression below;(Solved)
Simplify the expression below;
Date posted: May 2, 2019. Answers (1)
- Simplify the expression given below;(Solved)
Simplify the expression given below;
Date posted: May 2, 2019. Answers (1)
- Express z = 4 + 3i in polar form(Solved)
Express z = 4 + 3i in polar form
Date posted: May 2, 2019. Answers (1)
- Plot the triangle on the complex plane given that the vertices of the triangle are
z1 = 3 + 2i, z2= -2 + 4i and z3...(Solved)
Plot the triangle on the complex plane given that the vertices of the triangle are
z1 = 3 + 2i, z2= -2 + 4i and z3 = -1 -3i
Date posted: May 2, 2019. Answers (1)
- Plot the complex numbers
z1 = 4 + 3i, z2 = 5 – 2i,z3 =-4+3i and z4 = -4 – 3i(Solved)
Plot the complex numbers
z1 = 4 + 3i, z2 = 5 – 2i,z3 =-4+3i and z4 = -4 – 3i
Date posted: May 2, 2019. Answers (1)
- Simplify the expression below;(Solved)
Simplify the expression below;
Date posted: May 2, 2019. Answers (1)
- Simplify the expression below;(Solved)
Simplify the expression below;
Date posted: May 2, 2019. Answers (1)
- Write down the conjugate of the following complex numbers:
a)2 + 3i,
b)2 - 3i,
c)4 + 3i,
d)i,
e)6 - 5i.(Solved)
Write down the conjugate of the following complex numbers:
a)2 + 3i,
b)2 - 3i,
c)4 + 3i,
d)i,
e)6 - 5i.
Date posted: May 2, 2019. Answers (1)